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Finding the Third Proportional to 339,536 and 516,684

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Solution

The third proportional to 339,536 and 516,684 is: 786,256.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,536 : 516,684 = 516,684 : x
  2. Step 2: Convert to fraction form
    339,536/516,684 = 516,684/x
  3. Step 3: Cross multiply
    339,536x = 516,684 × 516,684
  4. Step 4: Simplify right side
    339,536x = 266,962,355,856
  5. Step 5: Solve for x
    x = 266,962,355,856/339,536
  6. Step 6: Final answer
    x = 786,256.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.